• Letter

Characterizing topological excitations of a long-range Heisenberg model with trapped ions

Stefan Birnkammer, Annabelle Bohrdt, Fabian Grusdt, and Michael Knap
Phys. Rev. B 105, L241103 – Published 3 June 2022
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Abstract

Realizing and characterizing interacting topological phases in synthetic quantum systems is a formidable challenge. Here, we propose a Floquet protocol to realize the antiferromagnetic Heisenberg model with power-law decaying interactions. Based on analytical and numerical arguments, we show that this model features a quantum phase transition from a liquid to a valence bond solid that spontaneously breaks lattice translational symmetry and is reminiscent of the Majumdar-Ghosh state. The different phases can be probed dynamically by measuring the evolution of a fully dimerized state. We moreover introduce an interferometric protocol to characterize the topological excitations and the bulk topological invariants of the interacting many-body system.

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  • Received 12 January 2021
  • Revised 29 March 2022
  • Accepted 17 May 2022

DOI:https://doi.org/10.1103/PhysRevB.105.L241103

©2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Stefan Birnkammer1,2,*, Annabelle Bohrdt1,2, Fabian Grusdt3,1,2, and Michael Knap1,2

  • 1Department of Physics, Technical University of Munich, 85748 Garching, Germany
  • 2Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, München 80799, Germany
  • 3Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstraße 37, München D-80333, Germany

  • *stefan.birnkammer@tum.de

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Issue

Vol. 105, Iss. 24 — 15 June 2022

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